Communications in Mathematical Sciences

Diatomic gas diffusing in a background medium: kinetic approach and reaction-diffusion equations

Marzia Bisi and Giampiero Spiga

Full-text: Open access

Abstract

The problem of a diatomic gas made up by atoms and molecules undergoing reactions of dissociation and recombination through a transition state is addressed. The gas is diffusing in a scattering and dissociating background medium. Extended Boltzmann-like kinetic equations for the relevant distribution functions and exact balance equations for mass, momentum, and energy are derived and discussed. It is shown that, in the asymptotic limit of small Knudsen numbers, a suitable scaling leads to a consistent formal derivation of hydrodynamic equations of reaction-diffusion type for number densities of atoms and molecules.

Article information

Source
Commun. Math. Sci., Volume 4, Number 4 (2006), 779-798.

Dates
First available in Project Euclid: 5 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.cms/1175797611

Mathematical Reviews number (MathSciNet)
MR2264820

Zentralblatt MATH identifier
1120.82011

Subjects
Primary: 82C40: Kinetic theory of gases
Secondary: 35K57: Reaction-diffusion equations 76N15: Gas dynamics, general 76P05: Rarefied gas flows, Boltzmann equation [See also 82B40, 82C40, 82D05]

Keywords
Kinetic theory reactions of dissociation/recombination asymptotic limit reaction-diffusion equations

Citation

Bisi, Marzia; Spiga, Giampiero. Diatomic gas diffusing in a background medium: kinetic approach and reaction-diffusion equations. Commun. Math. Sci. 4 (2006), no. 4, 779--798. https://projecteuclid.org/euclid.cms/1175797611


Export citation